I disagree, RJ and suspect that our "cousins" will be evenly split between those who want the child acknowledged and those who consider the child to be a page from the life-story of the mother.
When I look at the profiles of my long-gone ancestors, I see child who obtained birth certificates, death certificates, perhaps a christening and often a name.
I see the frequent practice of naming a second child by the same name immediately after the death of the first child. I note places where they were born, family cemeteries where they were buried, families who lost a series of children before a "permanent" child arrives...the fertile ground for future historians seeking info about genetic conditions in one (or both) parents.
Children count. Their dads count as frequently as their moms. Their sister, brothers and relatives deserve to "know" them.
Count me on the side of "one profile, one person."